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2970072109480 = 23573316968311
BaseRepresentation
bin101011001110000110000…
…101111101000110101000
3101111221021102122220200111
4223032012011331012220
5342130201430000410
610152233212544104
7424403104246000
oct53160605750650
911457242586614
102970072109480
11a45667304663
123bb753182034
131870cc394848
14a3a7629d000
15523d2110b8a
hex2b38617d1a8

2970072109480 has 128 divisors (see below), whose sum is σ = 7795765440000. Its totient is φ = 1017974200320.

The previous prime is 2970072109457. The next prime is 2970072109489. The reversal of 2970072109480 is 849012700792.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2970072109489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43444525 + ... + 43512835.

It is an arithmetic number, because the mean of its divisors is an integer number (60904417500).

Almost surely, 22970072109480 is an apocalyptic number.

2970072109480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970072109480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897882720000).

2970072109480 is an abundant number, since it is smaller than the sum of its proper divisors (4825693330520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2970072109480 is a wasteful number, since it uses less digits than its factorization.

2970072109480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71512 (or 71494 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

The spelling of 2970072109480 in words is "two trillion, nine hundred seventy billion, seventy-two million, one hundred nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3169 3430 6338 6860 12676 13720 15845 22183 25352 31690 44366 63380 68311 88732 110915 126760 136622 155281 177464 221830 273244 310562 341555 443660 478177 546488 621124 683110 776405 887320 956354 1086967 1242248 1366220 1552810 1912708 2173934 2390885 2732440 3105620 3347239 3825416 4347868 4781770 5434835 6211240 6694478 8695736 9563540 10869670 13388956 16736195 19127080 21739340 23430673 26777912 33472390 43478680 46861346 66944780 93722692 117153365 133889560 187445384 216477559 234306730 432955118 468613460 865910236 937226920 1082387795 1515342913 1731820472 2164775590 3030685826 4329551180 6061371652 7576714565 8659102360 10607400391 12122743304 15153429130 21214800782 30306858260 42429601564 53037001955 60613716520 74251802737 84859203128 106074003910 148503605474 212148007820 297007210948 371259013685 424296015640 594014421896 742518027370 1485036054740 2970072109480